OAI/MeasureTheory/Falconer/Incidence/PencilFiberEnergy.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Average critical energy of the point fibers of a tube family. This is the finite form of Orponen--Shmerkin, Appendix A, equation (A.18).

  1. def OAI.Falconer.pencilFiberEnergy line 13
  2. theorem OAI.Falconer.sum_pencilFiberEnergy line 18
  3. theorem OAI.Falconer.nonnegative_power_le_one_add line 38
  4. theorem OAI.Falconer.common_tube_weighted_bound line 45
  5. theorem OAI.Falconer.pencil_fiber_energy_average line 74